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Finding the Fourth Proportional to 264.40, 395.80 and 200.08

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Solution

The fourth proportional to 264.40, 395.80 and 200.08 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.40 : 395.80 = 200.08 : x
  2. Step 2: Convert to fraction form
    264.40/395.80 = 200.08/x
  3. Step 3: Cross multiply
    264.40x = 395.80 × 200.08
  4. Step 4: Simplify right side
    264.40x = 79,191.66
  5. Step 5: Solve for x
    x = 79,191.66/264.40
  6. Step 6: Final answer
    x = 299.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.